Consonant approximations in the belief space






Fabio Cuzzolin,
Proceedings of the 2nd International Conference on Belief Functions (BELIEF'12), Compiegne, France, May 2012

Abstract

In this paper we solve the problem of approximating a belief measure with a necessity measure or "consonant belief function" by minimizing appropriate distances from the consonant complex in the space of all belief functions. Partial approximations are first sought in each simplicial component of the consonant complex, while global solutions are obtained from the set of partial ones. The L1, L2 and Linf consonant approximations in the belief space are here computed, discussed and interpreted as generalizations of the maximal outer consonant approximation. Results are also compared to other classical approximations in a ternary example.
 
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BibTeX entry

@inproceedings{cuzzolin12belief-consonant, 
  AUTHOR = "Fabio Cuzzolin", 
  TITLE = "Consonant approximations in the belief space",
  JOURNAL = "Proceedings of BELIEF 2012", 
  YEAR = "2012" 
}